The five most popular colors for luxury cars manufactured during the 2003 model year in North America are reported here in percentages.

Luxury Car Percentage Luxury Car Percentage 1. Med./Dk. Gray 23.30 4. White 12.6 2. Silver 18.8 5. Black 10.9 3. White Met. 17.8 Source: DuPont Herberts Automotive Systems, Troy, Michigan, 2003 DuPont Automotive Color Popularity Survey Results, http://www.infoplease.com/ipa/

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a. Why does the column of percentages not total 100%?

b. Why are all probabilities based on this table conditional? What is that condition?

c. Did your favorite color make the list?

If one 2003 luxury car was picked at random from all luxury cars manufactured in the United States in 2003, what is the probability that its color is the following:

d. Black, silver, gray, or white

e. Not white

f. Black, knowing that the luxury car has one of the five most popular colors g. Black, knowing that the luxury car has one of the five most popular colors but is not white